Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues

Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues Full article

Journal

Mathematics
, E-ISSN: 2227-7390

Output data

Year: 2024, Volume: 12, Number: 2, Article number : 212, Pages count : 14 DOI: 10.3390/math12020212

Tags

nonlinear acoustics; acoustic tomography; ultrasound; Navier–Stokes equations

Authors

Shishlenin Maxim A. ^1,2 , Kozelkov Andrey S. ^3,4,5 , Novikov Nikita S. ^1,2

Affiliations

1	Institute of Computational Mathematics and Mathematical Geophysics, 630090 Novosibirsk, Russia
2	Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia
3	Nizhny Novgorod State Technical University n.a. R.E. Alekseev, 603155 Nizhny Novgorod, Russia
4	Russian Federal Nuclear Center, All-Russian Research Institute of Experimental Physics, 607188 Sarov, Russia
5	Sarov Institute of Physics and Technology—Branch of the National Research Nuclear University “MEPHI”, 607186 Sarov, Russia

Funding (1)

Russian Science Foundation

19-11-00154

he article aimed to show the fundamental possibility of constructing a computational digital twin of the acoustic tomograph within the framework of a unified physics–mathematical model based on the Navier–Stokes equations. The authors suggested that the size of the modeling area is quite small, sound waves are waves of “small” disturbance, and given that a person consists of more than 60% water, human organs can be modeled using a liquid model, taking into account their density. During numerical experiments, we obtained the pressure registered in the receivers that are located on the side walls of the tomograph. The differences in pressure values are shown depending on the configuration of inclusions in the mannequin imitating internal organs. The results show that the developed technology can be used to probe the human body in medical acoustic tomographs and determine the acoustic parameters of the human body to detect neoplasms.

Shishlenin M.A. , Kozelkov A.S. , Novikov N.S.
Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues
Mathematics. 2024. V.12. N2. 212 :1-14. DOI: 10.3390/math12020212 WOS Scopus РИНЦ OpenAlex

Submitted:	Nov 21, 2023
Accepted:	Dec 28, 2023
Published print:	Jan 9, 2024
Published online:	Jan 9, 2024

Web of science:	WOS:001151271000001
Scopus:	2-s2.0-85183131716
Elibrary:	65712876
OpenAlex:	W4390782858

DB	Citing
OpenAlex	3
Scopus	6
Web of science	2